Geodesic
Трещина, выходящая на контактную границу. Метод фиктивных областей и~инвариантные интегралы
Sibirskij žurnal industrialʹnoj matematiki, Tome 11 (2008) no. 3, pp. 15-29.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{SJIM_2008_11_3_a2,
     author = {L.-E. Andersson and A. M. Khludnev},
     title = {{\CYRT}{\cyrr}{\cyre}{\cyrshch}{\cyri}{\cyrn}{\cyra}, {\cyrv}{\cyrery}{\cyrh}{\cyro}{\cyrd}{\cyrya}{\cyrshch}{\cyra}{\cyrya} {\cyrn}{\cyra} {\cyrk}{\cyro}{\cyrn}{\cyrt}{\cyra}{\cyrk}{\cyrt}{\cyrn}{\cyru}{\cyryu} {\cyrg}{\cyrr}{\cyra}{\cyrn}{\cyri}{\cyrc}{\cyru}. {{\CYRM}{\cyre}{\cyrt}{\cyro}{\cyrd}} {\cyrf}{\cyri}{\cyrk}{\cyrt}{\cyri}{\cyrv}{\cyrn}{\cyrery}{\cyrh} {\cyro}{\cyrb}{\cyrl}{\cyra}{\cyrs}{\cyrt}{\cyre}{\cyrishrt} {\cyri}~{\cyri}{\cyrn}{\cyrv}{\cyra}{\cyrr}{\cyri}{\cyra}{\cyrn}{\cyrt}{\cyrn}{\cyrery}{\cyre} {\cyri}{\cyrn}{\cyrt}{\cyre}{\cyrg}{\cyrr}{\cyra}{\cyrl}{\cyrery}},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {15--29},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2008_11_3_a2/}
}
TY  - JOUR
AU  - L.-E. Andersson
AU  - A. M. Khludnev
TI  - Трещина, выходящая на контактную границу. Метод фиктивных областей и~инвариантные интегралы
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2008
SP  - 15
EP  - 29
VL  - 11
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2008_11_3_a2/
LA  - ru
ID  - SJIM_2008_11_3_a2
ER  - 
%0 Journal Article
%A L.-E. Andersson
%A A. M. Khludnev
%T Трещина, выходящая на контактную границу. Метод фиктивных областей и~инвариантные интегралы
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2008
%P 15-29
%V 11
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2008_11_3_a2/
%G ru
%F SJIM_2008_11_3_a2
L.-E. Andersson; A. M. Khludnev. Трещина, выходящая на контактную границу. Метод фиктивных областей и~инвариантные интегралы. Sibirskij žurnal industrialʹnoj matematiki, Tome 11 (2008) no. 3, pp. 15-29. http://geodesic.mathdoc.fr/item/SJIM_2008_11_3_a2/

[1] Fikera G., Teoremy suschestvovaniya v teorii uprugosti, Mir, M., 1974

[2] Khludnev A. M., Sokolowski J., Modelling and Control in Solid Mechanics, Birkhäuser, Basel–Boston–Berlin, 1997 | MR | Zbl

[3] Khludnev A. M., Kovtunenko V. A., Analysis of Cracks in Solids, WIT Press, Southampton–Boston, 2000

[4] Cherepanov G. P., Mekhanika khrupkogo razrusheniya, Nauka, M., 1974

[5] Parton V. Z., Morozov E. M., Mekhanika uprugoplasticheskogo razrusheniya, Nauka, M., 1985

[6] Morozov N. F., Matematicheskie voprosy teorii treschin, Nauka, M., 1984 | MR

[7] Nazarov S. A., Plamenevskii B. A., Ellipticheskie zadachi v oblastyakh s kusochno-gladkoi granitsei, Nauka, M., 1991

[8] Grisvard P., Singularities in Boundary Value Problems, Springer-Verl., Berlin–Heidelberg, 1992 | MR | Zbl

[9] Lions Zh.-L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971 | Zbl

[10] Lazarev N. P., “Differentsirovanie funktsionala energii dlya zadachi o ravnovesii tela, soderzhaschego treschinu, s kraevymi usloviyami Sinorini”, Sib. zhurn. industr. matem., 5:2(10) (2002), 139–147 | MR | Zbl

[11] Khludnev A. M., Ohtsuka K., Sokolowski J., “On derivative of energy functional for elastic bodies with cracks and unilateral conditions”, Quart. Appl. Math., 60:1 (2002), 99–109 | MR | Zbl

[12] Kovtunenko V. A., “Invariantnye integraly energii dlya nelineinoi zadachi o treschine s vozmozhnym kontaktom beregov”, Prikl. matem. i mekh., 67:1 (2003), 109–164 | MR

[13] Sokolovskii Ya., Khludnev A. M., “O proizvodnoi funktsionala energii po dline treschiny v zadachakh teorii uprugosti”, Prikl. matem. i mekh., 64:3 (2000), 464–475

[14] Kinderlerer G., Stampakkya D., Vvedenie v variatsionnye neravenstva i ikh prilozheniya, Mir, M., 1983 | MR

[15] Rudoi E. M., “Invariantnye integraly dlya zadachi ravnovesiya plastiny s treschinoi”, Sib. mat. zhurn., 45:2 (2004), 466–477 | MR | Zbl

[16] Leblond J. B., “Basic results for elastic fracture mechanics with frictionless contact between crack lips”, Eur. J. Mech. A Solids, 19 (2000), 633–647 | DOI | Zbl

[17] Nazarov S. A., “Treschina na styke anizotropnykh tel. Singulyarnosti uprugikh polei i kriterii razrusheniya pri kontakte beregov”, Prikl. matem. i mekh., 69:3 (2005), 520–532 | MR | Zbl

[18] Knowles J. K., Sternberg E., “On a class of conservation laws in linearized and finite elastostatics”, Arch. Ration. Mech. Anal., 44:3 (1972), 187–211 | DOI | MR | Zbl

[19] Vabischevich P. V., Metod fiktivnykh oblastei v zadachakh matematicheskoi fiziki, Izd-vo MGU, M., 1991 | Zbl

[20] Stepanov V. D., Khludnev A. M., “Metod fiktivnykh oblastei v zadache Sinorini”, Dokl. RAN, 392:1 (2003), 17–20 | MR | Zbl